Question

How do you solve for y in `y - z = 5 - 1/2y`?

Answer 1

`color(green)(y = 2 / 3 (5 + z)`

Explanation:

`y -z = 5 - 1 / 2 y`

`color(green)(y) -z = 5 - color(green)(1 / 2 y`

`color(green)((y + 1 / 2 y ) = 5 + z`

`2 /2y + 1 / 2 y = 5 + z`

`3/2y = 5 + z`

`color(green)(y = 2 / 3 (5 + z)`